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Finding the Fourth Proportional to 21,072.86, 29,080 and 11,641.22

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Solution

The fourth proportional to 21,072.86, 29,080 and 11,641.22 is: 16,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.86 : 29,080 = 11,641.22 : x
  2. Step 2: Convert to fraction form
    21,072.86/29,080 = 11,641.22/x
  3. Step 3: Cross multiply
    21,072.86x = 29,080 × 11,641.22
  4. Step 4: Simplify right side
    21,072.86x = 338,526,677.60
  5. Step 5: Solve for x
    x = 338,526,677.60/21,072.86
  6. Step 6: Final answer
    x = 16,064.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.